A First Order q-Difference System for the BC₁-Type Jackson Integral and Its Applications
We present an explicit expression for the q-difference system, which the BC1-type Jackson integral (q-series) satisfies, as first order simultaneous q-difference equations with a concrete basis. As an application, we give a simple proof for the hypergeometric summation formula introduced by Gustafso...
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| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2009 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2009
|
| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149165 |
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| Цитувати: | A First Order q-Difference System for the BC₁-Type Jackson Integral and Its Applications / M. Ito // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 17 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-149165 |
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| record_format |
dspace |
| spelling |
irk-123456789-1491652019-02-20T01:27:00Z A First Order q-Difference System for the BC₁-Type Jackson Integral and Its Applications Ito, M. We present an explicit expression for the q-difference system, which the BC1-type Jackson integral (q-series) satisfies, as first order simultaneous q-difference equations with a concrete basis. As an application, we give a simple proof for the hypergeometric summation formula introduced by Gustafson and the product formula of the q-integral introduced by Nassrallah-Rahman and Gustafson. 2009 Article A First Order q-Difference System for the BC₁-Type Jackson Integral and Its Applications / M. Ito // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 17 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 33D15; 33D67; 39A13 http://dspace.nbuv.gov.ua/handle/123456789/149165 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We present an explicit expression for the q-difference system, which the BC1-type Jackson integral (q-series) satisfies, as first order simultaneous q-difference equations with a concrete basis. As an application, we give a simple proof for the hypergeometric summation formula introduced by Gustafson and the product formula of the q-integral introduced by Nassrallah-Rahman and Gustafson. |
| format |
Article |
| author |
Ito, M. |
| spellingShingle |
Ito, M. A First Order q-Difference System for the BC₁-Type Jackson Integral and Its Applications Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Ito, M. |
| author_sort |
Ito, M. |
| title |
A First Order q-Difference System for the BC₁-Type Jackson Integral and Its Applications |
| title_short |
A First Order q-Difference System for the BC₁-Type Jackson Integral and Its Applications |
| title_full |
A First Order q-Difference System for the BC₁-Type Jackson Integral and Its Applications |
| title_fullStr |
A First Order q-Difference System for the BC₁-Type Jackson Integral and Its Applications |
| title_full_unstemmed |
A First Order q-Difference System for the BC₁-Type Jackson Integral and Its Applications |
| title_sort |
first order q-difference system for the bc₁-type jackson integral and its applications |
| publisher |
Інститут математики НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149165 |
| citation_txt |
A First Order q-Difference System for the BC₁-Type Jackson Integral and Its Applications / M. Ito // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 17 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT itom afirstorderqdifferencesystemforthebc1typejacksonintegralanditsapplications AT itom firstorderqdifferencesystemforthebc1typejacksonintegralanditsapplications |
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2023-05-20T17:32:29Z |
| last_indexed |
2023-05-20T17:32:29Z |
| _version_ |
1796153526976512000 |